Does the Jones Polynomial Detect Unknottedness?
Research paper (in postscript format) showing that any knot with trivial Jones polynomial must have at least 18 crossings. The number of different Alexander, Homfly and Jones polynomials for knots of up to 15 crossings is given.
Knots in Braid Notation
Listing of every knot of up to 11 crossings in braid notation. Useful for computer calculations in knot theory.
Papers on Knot Theory at arxiv.org.
Search for papers held at LANL with the word 'knot' in them.
A Dynamic Approach to Calculating the HOMFLY Polynomial for Directed Knots and Links
A research paper describing an algorithm for calculating the HOMFLY polynomial of directed knots and links. The algorithm has a better time bound for large links than algorithns that ignore duplicates. Source code is on the site.
Liverpool University Knot Theory Group
Articles and preprints from 1987 onward. Some are available for download in postscript format.
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